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117,776

117,776 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

117,776 (one hundred seventeen thousand seven hundred seventy-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 433. Its proper divisors sum to 124,396, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC10.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,058
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
677,711
Square (n²)
13,871,186,176
Cube (n³)
1,633,692,823,064,576
Divisor count
20
σ(n) — sum of divisors
242,172
φ(n) — Euler's totient
55,296
Sum of prime factors
458

Primality

Prime factorization: 2 4 × 17 × 433

Nearest primes: 117,773 (−3) · 117,779 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 433 · 866 · 1732 · 3464 · 6928 · 7361 · 14722 · 29444 · 58888 (half) · 117776
Aliquot sum (sum of proper divisors): 124,396
Factor pairs (a × b = 117,776)
1 × 117776
2 × 58888
4 × 29444
8 × 14722
16 × 7361
17 × 6928
34 × 3464
68 × 1732
136 × 866
272 × 433
First multiples
117,776 · 235,552 (double) · 353,328 · 471,104 · 588,880 · 706,656 · 824,432 · 942,208 · 1,059,984 · 1,177,760

Sums & aliquot sequence

As a sum of two squares: 124² + 320² = 224² + 260²
As consecutive integers: 6,920 + 6,921 + … + 6,936 3,665 + 3,666 + … + 3,696 56 + 57 + … + 488
Aliquot sequence: 117,776 124,396 95,852 77,524 58,150 50,102 34,570 27,674 14,554 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√117,776 = [343; (5, 2, 2, 12, 1, 3, 1, 4, 4, 1, 2, 3, 1, 2, 2, 1, 1, 4, 1, 3, 2, 3, 1, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand seven hundred seventy-six
Ordinal
117776th
Binary
11100110000010000
Octal
346020
Hexadecimal
0x1CC10
Base64
AcwQ
One's complement
4,294,849,519 (32-bit)
Scientific notation
1.17776 × 10⁵
As a duration
117,776 s = 1 day, 8 hours, 42 minutes, 56 seconds
In other bases
ternary (3) 12222120002
quaternary (4) 130300100
quinary (5) 12232101
senary (6) 2305132
septenary (7) 1000241
nonary (9) 188502
undecimal (11) 8053a
duodecimal (12) 581a8
tridecimal (13) 417b9
tetradecimal (14) 30cc8
pentadecimal (15) 24d6b

As an angle

117,776° = 327 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζψοϛʹ
Mayan (base 20)
𝋮·𝋮·𝋨·𝋰
Chinese
一十一萬七千七百七十六
Chinese (financial)
壹拾壹萬柒仟柒佰柒拾陸
In other modern scripts
Eastern Arabic ١١٧٧٧٦ Devanagari ११७७७६ Bengali ১১৭৭৭৬ Tamil ௧௧௭௭௭௬ Thai ๑๑๗๗๗๖ Tibetan ༡༡༧༧༧༦ Khmer ១១៧៧៧៦ Lao ໑໑໗໗໗໖ Burmese ၁၁၇၇၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117776, here are decompositions:

  • 3 + 117773 = 117776
  • 13 + 117763 = 117776
  • 19 + 117757 = 117776
  • 67 + 117709 = 117776
  • 73 + 117703 = 117776
  • 97 + 117679 = 117776
  • 103 + 117673 = 117776
  • 157 + 117619 = 117776

Showing the first eight; more decompositions exist.

Unicode codepoint
𜰐
Npn Transistor
U+1CC10
Other symbol (So)

UTF-8 encoding: F0 9C B0 90 (4 bytes).

Hex color
#01CC10
RGB(1, 204, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.16.

Address
0.1.204.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 117,776 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.